1. Study the following list of numbers: \( 2 \frac{3}{4} ; \sqrt{25} ;-3,56 ; \sqrt{12} ; 0,5 ; \sqrt[3]{-27} ; \sqrt[3]{20} ; \sqrt{\frac{1}{9}} ; \sqrt[3]{\frac{1}{16}} \) 1.1 Write down all the rational numbers in the list. 1.2 Write down all the irrational numbers in the list. 2. Classify the following numbers fully as natural numbers, whole integers, rational numbers, irrational numbers and/or real num \( \begin{array}{l}\text { 2.1 } 6 \frac{1}{4}\end{array} \quad 2.2 \quad-56 \)

To find the rational numbers in your list, we can identify those that can be expressed as fractions or whole numbers. The rational numbers are: \( 2 \frac{3}{4} \) (which is \( \frac{11}{4} \)), \( \sqrt{25} \) (which is \( 5 \)), \( -3.56 \), \( 0.5 \), and \( \sqrt[3]{-27} \) (which is \( -3 \)). The irrational numbers are: \( \sqrt{12} \) (approximately \( 3.464 \)), \( \sqrt[3]{20} \) (approximately \( 2.714 \)), \( \sqrt{\frac{1}{9}} \) (which equals \( \frac{1}{3} \) but is rational as well), and \( \sqrt[3]{\frac{1}{16}} \) (approximately \( 0.25 \) but also rational). Moving on to the classification of numbers: 2.1 \( 6 \frac{1}{4} \) is a rational number (as it can be expressed as \( \frac{25}{4} \)), a whole number (because it can be expressed as an integer plus a fraction), and a real number. 2.2 \( -56 \) is a whole integer, a rational number (as it can be represented as \( \frac{-56}{1} \)), and a real number.